Significant Figures in Area Calculation – Rankers Physics
Topic: Unit And Dimensions
Subtopic: Error Analysis

Significant Figures in Area Calculation

The area of a rectangular field (in \(\text{m}^2\)) of length \(55.3 \text{m}\) and breadth \(25 \text{m}\) after rounding off the value for correct significant digits is :

[NEET 2022]

\(14 \times 10^2\)
\(138 \times 10^1\)
\(1382\)
\(1382.5\)

Solution:

Length \(L = 55.3 \text{m}\) (3 significant figures). Breadth \(B = 25 \text{m}\) (2 significant figures). Area \(A = L \times B = 55.3 \times 25 = 1382.5 \text{m}^2\). For multiplication, the result must be rounded to the least number of significant figures, which is 2. Rounding \(1382.5 \text{m}^2\) to 2 significant figures gives \(1400 \text{m}^2\) or \(14 \times 10^2 \text{m}^2\).

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